E-Book, Englisch, 126 Seiten
Reihe: Lecture Notes in Geosystems Mathematics and Computing
Aspri An Elastic Model for Volcanology
1. Auflage 2019
ISBN: 978-3-030-31475-0
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 126 Seiten
Reihe: Lecture Notes in Geosystems Mathematics and Computing
ISBN: 978-3-030-31475-0
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
This monograph presents a rigorous mathematical framework for a linear elastic model arising from volcanology that explains deformation effects generated by inflating or deflating magma chambers in the Earth's interior. From a mathematical perspective, these modeling assumptions manifest as a boundary value problem that has long been known by researchers in volcanology, but has not, until now, been given a thorough mathematical treatment. This mathematical study gives an explicit formula for the solution of the boundary value problem which generalizes the few well-known, explicit solutions found in geophysics literature. Using two distinct analytical approaches-one involving weighted Sobolev spaces, and the other using single and double layer potentials-the well-posedness of the elastic model is proven. An Elastic Model for Volcanology will be of particular interest to mathematicians researching inverse problems, as well as geophysicists studying volcanology.
